Hi could you please solve this as quick as possible, thanks.

A tree 34 m high cast a shadow 12 m long. The angle of the inclination of the sun is closest to:
A 70
B 21
C 69
D 19
E 79
Thanks

4 answers

tan angle = 34/12

Thanks for the quick reply :D

You are welcome.

To determine the angle of inclination of the sun, we can use the concept of similar triangles.

Let's consider the height of the tree as the height of one triangle and the length of the shadow as the base of that triangle. Now, let's assume that the angle of inclination of the sun is represented by theta.

From the given information, we have:
Height of the tree = 34 m
Length of the shadow = 12 m

Now, using the concept of similar triangles, we can set up the following proportion:

height of tree / length of shadow = tan(theta)

So, we have:
34 / 12 = tan(theta)

To find the value of theta, we need to take the arctan or inverse tangent of both sides of the equation.

theta = arctan(34/12)

Using a calculator, we can find the value of theta to be approximately 70 degrees.

Therefore, the angle of inclination of the sun is closest to 70 degrees, which corresponds to option A in the given choices.